A Simple proof of the Goldberg–Straus theorem on numerical radii

DOI10.1017/S0017089500006455zbMath0605.15019MaRDI QIDQ3743443

Bit-Shun Tam

Publication date: 1986

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

A-numerical rangeGoldberg-Straus theorem

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (15)

Exterior numerical radii and antiinvariant subspaces ⋮ Some aspects of the theory of norms ⋮ Inequalities relating norms invariant under unitary similarities ⋮ Linear maps relating different unitary similarity orbits or different generalized numerical ranges ⋮ Inclusion Regions for Numerical Ranges and Linear Preservers ⋮ Norms that are invariant under unitary similarities and theC-numerical radii ⋮ C-numerical ranges andC-numerical radii ⋮ Research problem the matrix numerical range ⋮ Linear operators that preserve thec-numerical range or radius of matrices ⋮ Lieb functions and \(m\)-positivity of norms ⋮ Congruence numerical ranges and their radii ⋮ Span of the orthogonal orbit of real matrices ⋮ Linear images of joint unitary orbits of Hermitian matrices ⋮ On the norm property of \(G(c)\)-radii and Eaton triples ⋮ G-invariant norms and G(c)-radii

Cites Work

• Norm properties of C-numerical radii
• Three elementary proofs of the goldberg-straus theorem on numerical radii

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